Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900dg |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-9005587593750000 = -1 · 24 · 39 · 59 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45375,-2646875] |
[a1,a2,a3,a4,a6] |
Generators |
[1100:37125:1] |
Generators of the group modulo torsion |
j |
30976/27 |
j-invariant |
L |
6.31926555111 |
L(r)(E,1)/r! |
Ω |
0.22636132418516 |
Real period |
R |
1.1631966412396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999733204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36300ce1 108900dd1 108900de1 |
Quadratic twists by: -3 5 -11 |